The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was $16,757. Assume that the standard deviation is o = $2169. Use z-table. a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $169 of the population mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals. n = 30 n = 50 n = 100 n = 400 b. What is the advantage of a larger sample size when attempting to estimate the population mean? Round your answers to four decimals.

Suppose that the monthly charges for cell phone plans in the United States are normally distributed with a mean of $93 and a standard deviation of $19. What is the probability that any one cell phone user has a monthly plan that exceeds $76? Round your answer to at least three decimal places.

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 245 feet and a standard deviation of 54 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? PP(fewer than 204 feet) = b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 234 feet? PP(more than 234 feet) =

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 242 feet and a standard deviation of 46 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? P(fewer than 204 feet) = ____% b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 234 feet? P(more than 234 feet) = ______%

The annual income for a sample of 450 part-time students is normally distributed with a mean income of $31,000 and a standard deviation of $3,000.   What is the probability their annual income is more than $35,000?

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 254 feet and a standard deviation of 43 feet. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? P(fewer than 204 feet) = % b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 216 feet? P(more than 216 feet) =

Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?

The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30000 and $60000 itemized deductions on their federal income tax return. The mean amount of deductions for this population of taxpayers was 17226. Assume that the standard deviation is 2011. a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within 182 of the population mean for each of the following sample sizes: 30, 50,100, and 400? Round your answers to four decimals. b.A larger sample (increases)the probability that the sample mean will be within a specified distance of the population mean. In this instance, the probability of being within 182(+-) of u ranges from (____)for a sample of size to (____)for a sample of size 400.